Class 12 Maths Determinants Cofactors

Cofactors  (Minors with Signs)

Cofactor of an element aij , denoted by Aij is defined by Aij = (–1)i+j Mij , where Mij is minor of aij.

 

Determinant  = a11 A11 + a12 A12 + a13 A13

If elements of a row (or column) are multiplied with cofactors of any other row (or column), then their sum is zero

  • a11 A21 + a12 A22 + a13 A23 = 0
  • a11 A31 + a12 A32 + a13 A33 = 0

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